PHOTOS: New Years Eve 2011

Simpson is seeking joint legal custody and primary physical custody of their 2-year-old son Bronx, according to TMZ.

The gossip Web site also cites sources as saying there's no pre-nup.

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Wentz and Simpson were seen together in Chicago as recently as New Year's Eve, when they brought in 2011 at the Hard Rock Hotel.

The couple released the following joint statement:

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"After careful consideration, we have made the difficult decision to file for divorce. We remain friends and deeply committed and loving parents to our son Bronx, whose happiness and well-being remains our number one priority. We ask that everyone honor our privacy as we navigate this next phase of our lives."